Simplificación general
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3 2 2 2
y - x + y*x - x*y + 2*x*y
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x*(x - y)
$$\frac{x^{2} y - x^{2} + 2 x y^{2} - x y + y^{3}}{x \left(x - y\right)}$$
(y^3 - x^2 + y*x^2 - x*y + 2*x*y^2)/(x*(x - y))
(y - x/(x + y))*((x + 3.0*y)/(x - y) - y/x)
(y - x/(x + y))*((x + 3.0*y)/(x - y) - y/x)
/ 2 \
(x + y)*\y - x + x*y/
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x*(x - y)
$$\frac{\left(x + y\right) \left(x y - x + y^{2}\right)}{x \left(x - y\right)}$$
(x + y)*(y^2 - x + x*y)/(x*(x - y))
3 2
y - 2*x*y + 3*x*y
-1 + y + -------------------
2
x - x*y
$$y - 1 + \frac{3 x y^{2} - 2 x y + y^{3}}{x^{2} - x y}$$
-1 + y + (y^3 - 2*x*y + 3*x*y^2)/(x^2 - x*y)
Denominador racional
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(-x + y*(x + y))*(x*(x + 3*y) - y*(x - y))
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x*(x + y)*(x - y)
$$\frac{\left(- x + y \left(x + y\right)\right) \left(x \left(x + 3 y\right) - y \left(x - y\right)\right)}{x \left(x - y\right) \left(x + y\right)}$$
(-x + y*(x + y))*(x*(x + 3*y) - y*(x - y))/(x*(x + y)*(x - y))
Unión de expresiones racionales
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(-x + y*(x + y))*(x*(x + 3*y) - y*(x - y))
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x*(x + y)*(x - y)
$$\frac{\left(- x + y \left(x + y\right)\right) \left(x \left(x + 3 y\right) - y \left(x - y\right)\right)}{x \left(x - y\right) \left(x + y\right)}$$
(-x + y*(x + y))*(x*(x + 3*y) - y*(x - y))/(x*(x + y)*(x - y))